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Finding the Fourth Proportional to 208,859.94, 312,895.35 and 161,882.82

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Solution

The fourth proportional to 208,859.94, 312,895.35 and 161,882.82 is: 242,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.94 : 312,895.35 = 161,882.82 : x
  2. Step 2: Convert to fraction form
    208,859.94/312,895.35 = 161,882.82/x
  3. Step 3: Cross multiply
    208,859.94x = 312,895.35 × 161,882.82
  4. Step 4: Simplify right side
    208,859.94x = 50,652,381,622.89
  5. Step 5: Solve for x
    x = 50,652,381,622.89/208,859.94
  6. Step 6: Final answer
    x = 242,518.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.